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PARALLEL SLICOT MODEL REDUCTION ROUTINES: THE CHOLESKY FACTOR OF GRAMMIANS
David Guerrero* Vicente Hernández* José E. Román*
* DSIC - UPV, Camino de Vera s/n, Valencia, Spain
This paper presents part of the work being carried out to obtain parallel versions of the main SLICOT routines for model reduction. It is focused on the parallel solution of standard Lyapunov equations obtaining the Cholesky factor of the controllability and observability Grammians. This operation is an important basis for model reduction methods. Routines from the standard libraries BLAS, LAPACK, SLICOT, PBLAS and ScaLAPACK have been used whenever possible in the parallelisation process. However, it has been necessary to develop some new routines. Experimental results obtained using a cluster of PC’s are shown.
Keywords: Parallel algorithms, Model reduction, Linear control systems, Lyapunov equation, Cholesky factorisation
Session slot T-Fr-A17: High-performance computing for real-time signal processing and control/Area code 9d : Algorithms and Architectures for Real-Time Control
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